Submission #831209

# Submission time Handle Problem Language Result Execution time Memory
831209 2023-08-19T22:29:22 Z Wael Catfish Farm (IOI22_fish) C++17
100 / 100
548 ms 124320 KB
#include <bits/stdc++.h>
using namespace std;
#include "fish.h"
int const Mx = 1e5 + 10;
int n , m , j , Req , ReqNext;
map<int , int>cost[Mx] , vis[Mx];
vector<int>possible[Mx];
vector<long long>pref[Mx] , dp[2][Mx];

long long max_weights(int N, int M , vector<int> X, vector<int> Y, vector<int> W) {
    m = M , n = N;
    long long ans = 0;

    for(int i = 0 ; i < m ; ++i) {
        ++X[i];
        ++Y[i];
        possible[X[i] - 1].push_back(Y[i]);
        possible[X[i] + 1].push_back(Y[i]);
        possible[X[i]].push_back(Y[i]);
        cost[X[i]][Y[i]] = W[i];
    }

    for(int i = 1 ; i <= n + 1 ; ++i) {
        possible[i].push_back(0);
        vector<int>Cur;
        sort(possible[i].begin() , possible[i].end());
        for(auto j : possible[i]) if(Cur.size() == 0 || Cur.back() != j) Cur.push_back(j);
        possible[i] = Cur;
        for(auto j : possible[i]) {
            long long cur = 0;
            if(pref[i].size()) cur = pref[i].back();
            cur += cost[i][j];
            pref[i].push_back(cur);
            dp[0][i].push_back(0);
            dp[1][i].push_back(0);
        }
    }

    long long MaxPref = 0 , MaxSuf = pref[2].back() , MaxDp = 0 , MaxAddDp = 0;
    for(int i = 2 ; i <= n ; ++i) {
        Req = 0 , ReqNext = 0;
        for(int J = 0 ; J < possible[i].size() ; ++J) {
            j = possible[i][J];
            while(Req + 1 < possible[i - 1].size() && possible[i - 1][Req + 1] <= j) ++Req;
            dp[0][i][J] = max(dp[0][i][J] , MaxPref + pref[i - 1][Req]);
            dp[1][i][J] = max(dp[1][i][J] , MaxSuf - pref[i][J]);
            if(i >= 3) {
               dp[0][i][J] = max(dp[0][i][J] , MaxDp + pref[i - 1][Req]);
               dp[0][i][J] = max(dp[0][i][J] , MaxAddDp - pref[i - 1][Req]);
            }
            ans = max(ans , dp[0][i][J]);
            ans = max(ans , dp[1][i][J]);
        }

        MaxPref = MaxSuf = MaxDp = MaxAddDp = 0;
        for(int J = 0 ; J < possible[i].size() ; ++J) {
            j = possible[i][J];
            while(ReqNext + 1 < possible[i + 1].size() && possible[i + 1][ReqNext + 1] <= j) ++ReqNext;
            MaxPref = max(MaxPref , dp[0][i][J] - pref[i][J]);
            MaxSuf = max(MaxSuf , max(dp[0][i][J] , dp[1][i][J]) + pref[i + 1][ReqNext]);
        }

        Req = 0;
        for(int J = 0 ; J < possible[i - 1].size() ; ++J) {
            j = possible[i - 1][J];
            while(Req + 1 < possible[i].size() && possible[i][Req + 1] <= j) ++Req;
            MaxDp = max(MaxDp , max(dp[0][i - 1][J] , dp[1][i - 1][J]));
            MaxAddDp = max(MaxAddDp , max(dp[0][i - 1][J] , dp[1][i - 1][J]) + pref[i][Req]);
        }
    }

    return ans;
}
/*
pref = max Dp - prefi
suf = max Dp - prefi + 1
Pref = max Dp
Suf = max Dp + prefi + 1
*/

Compilation message

fish.cpp: In function 'long long int max_weights(int, int, std::vector<int>, std::vector<int>, std::vector<int>)':
fish.cpp:42:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   42 |         for(int J = 0 ; J < possible[i].size() ; ++J) {
      |                         ~~^~~~~~~~~~~~~~~~~~~~
fish.cpp:44:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   44 |             while(Req + 1 < possible[i - 1].size() && possible[i - 1][Req + 1] <= j) ++Req;
      |                   ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
fish.cpp:56:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   56 |         for(int J = 0 ; J < possible[i].size() ; ++J) {
      |                         ~~^~~~~~~~~~~~~~~~~~~~
fish.cpp:58:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   58 |             while(ReqNext + 1 < possible[i + 1].size() && possible[i + 1][ReqNext + 1] <= j) ++ReqNext;
      |                   ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
fish.cpp:64:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   64 |         for(int J = 0 ; J < possible[i - 1].size() ; ++J) {
      |                         ~~^~~~~~~~~~~~~~~~~~~~~~~~
fish.cpp:66:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   66 |             while(Req + 1 < possible[i].size() && possible[i][Req + 1] <= j) ++Req;
      |                   ~~~~~~~~^~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 109 ms 49140 KB Output is correct
2 Correct 135 ms 54128 KB Output is correct
3 Correct 40 ms 36292 KB Output is correct
4 Correct 44 ms 36172 KB Output is correct
5 Correct 436 ms 112356 KB Output is correct
6 Correct 548 ms 117548 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 9 ms 19024 KB Output is correct
2 Correct 189 ms 58912 KB Output is correct
3 Correct 229 ms 64916 KB Output is correct
4 Correct 111 ms 49208 KB Output is correct
5 Correct 133 ms 54136 KB Output is correct
6 Correct 9 ms 19028 KB Output is correct
7 Correct 10 ms 19076 KB Output is correct
8 Correct 10 ms 19028 KB Output is correct
9 Correct 9 ms 19032 KB Output is correct
10 Correct 40 ms 36232 KB Output is correct
11 Correct 41 ms 36200 KB Output is correct
12 Correct 128 ms 55400 KB Output is correct
13 Correct 160 ms 61416 KB Output is correct
14 Correct 123 ms 52356 KB Output is correct
15 Correct 138 ms 49736 KB Output is correct
16 Correct 129 ms 52332 KB Output is correct
17 Correct 136 ms 55696 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 42 ms 36308 KB Output is correct
2 Correct 41 ms 36244 KB Output is correct
3 Correct 84 ms 38584 KB Output is correct
4 Correct 68 ms 39232 KB Output is correct
5 Correct 146 ms 43288 KB Output is correct
6 Correct 112 ms 43340 KB Output is correct
7 Correct 119 ms 43312 KB Output is correct
8 Correct 117 ms 43296 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 9 ms 19028 KB Output is correct
2 Correct 10 ms 19028 KB Output is correct
3 Correct 10 ms 19028 KB Output is correct
4 Correct 9 ms 19092 KB Output is correct
5 Correct 12 ms 19088 KB Output is correct
6 Correct 9 ms 19028 KB Output is correct
7 Correct 9 ms 19028 KB Output is correct
8 Correct 9 ms 19028 KB Output is correct
9 Correct 10 ms 19124 KB Output is correct
10 Correct 10 ms 19448 KB Output is correct
11 Correct 10 ms 19204 KB Output is correct
12 Correct 10 ms 19284 KB Output is correct
13 Correct 9 ms 19024 KB Output is correct
14 Correct 10 ms 19156 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 9 ms 19028 KB Output is correct
2 Correct 10 ms 19028 KB Output is correct
3 Correct 10 ms 19028 KB Output is correct
4 Correct 9 ms 19092 KB Output is correct
5 Correct 12 ms 19088 KB Output is correct
6 Correct 9 ms 19028 KB Output is correct
7 Correct 9 ms 19028 KB Output is correct
8 Correct 9 ms 19028 KB Output is correct
9 Correct 10 ms 19124 KB Output is correct
10 Correct 10 ms 19448 KB Output is correct
11 Correct 10 ms 19204 KB Output is correct
12 Correct 10 ms 19284 KB Output is correct
13 Correct 9 ms 19024 KB Output is correct
14 Correct 10 ms 19156 KB Output is correct
15 Correct 9 ms 19156 KB Output is correct
16 Correct 11 ms 19384 KB Output is correct
17 Correct 42 ms 26156 KB Output is correct
18 Correct 41 ms 25252 KB Output is correct
19 Correct 39 ms 25464 KB Output is correct
20 Correct 37 ms 24784 KB Output is correct
21 Correct 39 ms 24608 KB Output is correct
22 Correct 70 ms 30284 KB Output is correct
23 Correct 17 ms 21416 KB Output is correct
24 Correct 35 ms 25180 KB Output is correct
25 Correct 11 ms 19284 KB Output is correct
26 Correct 19 ms 21268 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 9 ms 19028 KB Output is correct
2 Correct 10 ms 19028 KB Output is correct
3 Correct 10 ms 19028 KB Output is correct
4 Correct 9 ms 19092 KB Output is correct
5 Correct 12 ms 19088 KB Output is correct
6 Correct 9 ms 19028 KB Output is correct
7 Correct 9 ms 19028 KB Output is correct
8 Correct 9 ms 19028 KB Output is correct
9 Correct 10 ms 19124 KB Output is correct
10 Correct 10 ms 19448 KB Output is correct
11 Correct 10 ms 19204 KB Output is correct
12 Correct 10 ms 19284 KB Output is correct
13 Correct 9 ms 19024 KB Output is correct
14 Correct 10 ms 19156 KB Output is correct
15 Correct 9 ms 19156 KB Output is correct
16 Correct 11 ms 19384 KB Output is correct
17 Correct 42 ms 26156 KB Output is correct
18 Correct 41 ms 25252 KB Output is correct
19 Correct 39 ms 25464 KB Output is correct
20 Correct 37 ms 24784 KB Output is correct
21 Correct 39 ms 24608 KB Output is correct
22 Correct 70 ms 30284 KB Output is correct
23 Correct 17 ms 21416 KB Output is correct
24 Correct 35 ms 25180 KB Output is correct
25 Correct 11 ms 19284 KB Output is correct
26 Correct 19 ms 21268 KB Output is correct
27 Correct 13 ms 20112 KB Output is correct
28 Correct 203 ms 48624 KB Output is correct
29 Correct 295 ms 68300 KB Output is correct
30 Correct 381 ms 108232 KB Output is correct
31 Correct 368 ms 107352 KB Output is correct
32 Correct 273 ms 57800 KB Output is correct
33 Correct 374 ms 109332 KB Output is correct
34 Correct 371 ms 109276 KB Output is correct
35 Correct 114 ms 45024 KB Output is correct
36 Correct 359 ms 93276 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 42 ms 36308 KB Output is correct
2 Correct 41 ms 36244 KB Output is correct
3 Correct 84 ms 38584 KB Output is correct
4 Correct 68 ms 39232 KB Output is correct
5 Correct 146 ms 43288 KB Output is correct
6 Correct 112 ms 43340 KB Output is correct
7 Correct 119 ms 43312 KB Output is correct
8 Correct 117 ms 43296 KB Output is correct
9 Correct 175 ms 57432 KB Output is correct
10 Correct 106 ms 38480 KB Output is correct
11 Correct 230 ms 57944 KB Output is correct
12 Correct 9 ms 19028 KB Output is correct
13 Correct 9 ms 19080 KB Output is correct
14 Correct 9 ms 19028 KB Output is correct
15 Correct 9 ms 19092 KB Output is correct
16 Correct 9 ms 19056 KB Output is correct
17 Correct 10 ms 19092 KB Output is correct
18 Correct 41 ms 36296 KB Output is correct
19 Correct 42 ms 36308 KB Output is correct
20 Correct 41 ms 36236 KB Output is correct
21 Correct 42 ms 36216 KB Output is correct
22 Correct 207 ms 60720 KB Output is correct
23 Correct 271 ms 72524 KB Output is correct
24 Correct 273 ms 74344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 109 ms 49140 KB Output is correct
2 Correct 135 ms 54128 KB Output is correct
3 Correct 40 ms 36292 KB Output is correct
4 Correct 44 ms 36172 KB Output is correct
5 Correct 436 ms 112356 KB Output is correct
6 Correct 548 ms 117548 KB Output is correct
7 Correct 9 ms 19024 KB Output is correct
8 Correct 189 ms 58912 KB Output is correct
9 Correct 229 ms 64916 KB Output is correct
10 Correct 111 ms 49208 KB Output is correct
11 Correct 133 ms 54136 KB Output is correct
12 Correct 9 ms 19028 KB Output is correct
13 Correct 10 ms 19076 KB Output is correct
14 Correct 10 ms 19028 KB Output is correct
15 Correct 9 ms 19032 KB Output is correct
16 Correct 40 ms 36232 KB Output is correct
17 Correct 41 ms 36200 KB Output is correct
18 Correct 128 ms 55400 KB Output is correct
19 Correct 160 ms 61416 KB Output is correct
20 Correct 123 ms 52356 KB Output is correct
21 Correct 138 ms 49736 KB Output is correct
22 Correct 129 ms 52332 KB Output is correct
23 Correct 136 ms 55696 KB Output is correct
24 Correct 42 ms 36308 KB Output is correct
25 Correct 41 ms 36244 KB Output is correct
26 Correct 84 ms 38584 KB Output is correct
27 Correct 68 ms 39232 KB Output is correct
28 Correct 146 ms 43288 KB Output is correct
29 Correct 112 ms 43340 KB Output is correct
30 Correct 119 ms 43312 KB Output is correct
31 Correct 117 ms 43296 KB Output is correct
32 Correct 9 ms 19028 KB Output is correct
33 Correct 10 ms 19028 KB Output is correct
34 Correct 10 ms 19028 KB Output is correct
35 Correct 9 ms 19092 KB Output is correct
36 Correct 12 ms 19088 KB Output is correct
37 Correct 9 ms 19028 KB Output is correct
38 Correct 9 ms 19028 KB Output is correct
39 Correct 9 ms 19028 KB Output is correct
40 Correct 10 ms 19124 KB Output is correct
41 Correct 10 ms 19448 KB Output is correct
42 Correct 10 ms 19204 KB Output is correct
43 Correct 10 ms 19284 KB Output is correct
44 Correct 9 ms 19024 KB Output is correct
45 Correct 10 ms 19156 KB Output is correct
46 Correct 9 ms 19156 KB Output is correct
47 Correct 11 ms 19384 KB Output is correct
48 Correct 42 ms 26156 KB Output is correct
49 Correct 41 ms 25252 KB Output is correct
50 Correct 39 ms 25464 KB Output is correct
51 Correct 37 ms 24784 KB Output is correct
52 Correct 39 ms 24608 KB Output is correct
53 Correct 70 ms 30284 KB Output is correct
54 Correct 17 ms 21416 KB Output is correct
55 Correct 35 ms 25180 KB Output is correct
56 Correct 11 ms 19284 KB Output is correct
57 Correct 19 ms 21268 KB Output is correct
58 Correct 13 ms 20112 KB Output is correct
59 Correct 203 ms 48624 KB Output is correct
60 Correct 295 ms 68300 KB Output is correct
61 Correct 381 ms 108232 KB Output is correct
62 Correct 368 ms 107352 KB Output is correct
63 Correct 273 ms 57800 KB Output is correct
64 Correct 374 ms 109332 KB Output is correct
65 Correct 371 ms 109276 KB Output is correct
66 Correct 114 ms 45024 KB Output is correct
67 Correct 359 ms 93276 KB Output is correct
68 Correct 175 ms 57432 KB Output is correct
69 Correct 106 ms 38480 KB Output is correct
70 Correct 230 ms 57944 KB Output is correct
71 Correct 9 ms 19028 KB Output is correct
72 Correct 9 ms 19080 KB Output is correct
73 Correct 9 ms 19028 KB Output is correct
74 Correct 9 ms 19092 KB Output is correct
75 Correct 9 ms 19056 KB Output is correct
76 Correct 10 ms 19092 KB Output is correct
77 Correct 41 ms 36296 KB Output is correct
78 Correct 42 ms 36308 KB Output is correct
79 Correct 41 ms 36236 KB Output is correct
80 Correct 42 ms 36216 KB Output is correct
81 Correct 207 ms 60720 KB Output is correct
82 Correct 271 ms 72524 KB Output is correct
83 Correct 273 ms 74344 KB Output is correct
84 Correct 423 ms 102892 KB Output is correct
85 Correct 410 ms 110084 KB Output is correct
86 Correct 460 ms 121560 KB Output is correct
87 Correct 470 ms 124320 KB Output is correct
88 Correct 10 ms 19028 KB Output is correct
89 Correct 467 ms 124228 KB Output is correct
90 Correct 389 ms 105252 KB Output is correct
91 Correct 308 ms 84792 KB Output is correct